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Finding the Third Proportional to 444,239 and 959,403

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Solution

The third proportional to 444,239 and 959,403 is: 2,071,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,239 : 959,403 = 959,403 : x
  2. Step 2: Convert to fraction form
    444,239/959,403 = 959,403/x
  3. Step 3: Cross multiply
    444,239x = 959,403 × 959,403
  4. Step 4: Simplify right side
    444,239x = 920,454,116,409
  5. Step 5: Solve for x
    x = 920,454,116,409/444,239
  6. Step 6: Final answer
    x = 2,071,979.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.